Advertisement

Celestial mechanics

, Volume 25, Issue 3, pp 267–270 | Cite as

On a four-body problem

  • Armando Majorana
Article

Abstract

In this paper we study a particular four-body problem: three bodies revolve around their center of mass in circular orbits under the influence of their mutual gravitational attraction, while a fourth body moves in the plane defined by the three bodies but non influencing their motion. The linear stability of the eight equilibrium points is studied, and it is found that it depends on the values of the masses.

Keywords

Equilibrium Point Body Move Linear Stability Circular Orbit Gravitational Attraction 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    Moulton, F. R.: 1959,An Introduction to Celestial Mechanics, The MacMillan Company, New York.Google Scholar
  2. [2]
    Siegel, C. L. and Moser, J. K.: 1971,Lectures on Celestial Mechanics, Springer-Verlag, New York.Google Scholar
  3. [3]
    Szebehely, V.: 1967,Theory of Orbits, Academic Press, New York.Google Scholar

Copyright information

© D. Reidel Publishing Co. 1981

Authors and Affiliations

  • Armando Majorana
    • 1
  1. 1.Seminario MatematicoIstituto di Astronomia, Universita' di CataniaCataniaItaly

Personalised recommendations